Solve 1/6+7/12-4/9=

$$\frac { 1 } { 6 } + \frac { 7 } { 12 } - \frac { 4 } { 9 } =$$

Evaluate

$$\frac{11}{36}\approx 0.305555556$$

Solution Steps

Least common multiple of 6 and 12 is 12. Convert \frac{1}{6} and \frac{7}{12} to fractions with denominator 12.

$$\frac{2}{12}+\frac{7}{12}-\frac{4}{9}$$

Since \frac{2}{12} and \frac{7}{12} have the same denominator, add them by adding their numerators.

$$\frac{2+7}{12}-\frac{4}{9}$$

Add 2 and 7 to get 9.

$$\frac{9}{12}-\frac{4}{9}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$\frac{3}{4}-\frac{4}{9}$$

Least common multiple of 4 and 9 is 36. Convert \frac{3}{4} and \frac{4}{9} to fractions with denominator 36.

$$\frac{27}{36}-\frac{16}{36}$$

Since \frac{27}{36} and \frac{16}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-16}{36}$$

Subtract 16 from 27 to get 11.

$$\frac{11}{36}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 3 ^ {2}} = 0.3055555555555556$$